THE USE OF MATHEMATICAL EXPERIMENTS PLANNING IN BUILDING MATERIALS QUALITY RESEARCH

Leonid Dvorkin, Grzegorz Prokopski, V. Marchuk, Andriy Huts
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引用次数: 1

Abstract

The issue of ensuring the construction of materials and products, necessary quality characteristics and durability, is associated with the solution of many problems arising both in the construction industry enterprises and in the conditions of a construction site. Most of these (construction-technological) problems are solved due to the rational choice of raw materials, changes in the ratio between the main components, as well as production modes. The method of solving such problems assumes simultaneous consideration of many factors (composition, consumption of components, formation conditions, hardening, etc.) and providing many parameters (workability, strength, frost resistance, water resistance, etc.), which in practice is difficult to implement by traditional methods of experimentation because of high labor intensity of the work and the need for complex analysis. The article considers using methods of system analysis and mathematical planning of experiments in the study of building materials quality. Methods of obtaining mathematical models of various types, their interpretation and analysis, as well as the basic principles of using system analysis for solving the problems of building materials technology are presented. The technique of mathematical planning of experiments is presented. The main types of tasks solved with this method are analyzed, optimization criteria for solving problems of concrete technology are formulated. Methods for constructing linear and nonlinear models, their statistical analysis, and typical plans for carrying out experiments are presented.
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数学实验计划在建筑材料质量研究中的应用
确保材料和产品的施工,必要的质量特性和耐久性的问题,涉及到建筑行业企业和施工现场条件中出现的许多问题的解决。这些(施工技术)问题大多可以通过合理选择原材料、改变主要部件的比例以及生产方式来解决。解决这类问题的方法需要同时考虑许多因素(成分、成分消耗、形成条件、硬化等),并提供许多参数(可加工性、强度、抗冻性、耐水性等),由于工作的劳动强度高,需要进行复杂的分析,在实践中很难用传统的实验方法来实现。本文探讨了在建筑材料质量研究中运用系统分析和实验数学规划的方法。介绍了各类数学模型的获取方法、解释和分析方法,以及运用系统分析方法解决建筑材料技术问题的基本原理。提出了实验的数学规划技术。分析了该方法解决的主要任务类型,制定了解决混凝土工艺问题的优化准则。介绍了线性和非线性模型的建立方法、统计分析方法和典型的实验方案。
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